GCD of 788, 900, 448, 148 Calculator

Given Input numbers are 788, 900, 448, 148

In the factoring method, we have to find the divisors of all numbers

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (788, 900, 448, 148) = 4.

Given numbers are 788, 900, 448, 148

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 788, 900, 448, 148 is 4.

Given numbers are 788, 900, 448, 148

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(788, 900) = 177300

GCD(788, 900) = ( 788 x 900 ) / 177300

= 788 / 900

= 788

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

= 4 / 148

= 4

So, Greatest Common Divisor of 788, 900, 448, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 198, 499, 898
• GCD of 995, 621, 356, 843
• GCD of 780, 734, 662, 324
• GCD of 955, 788, 736, 737
• GCD of 602, 408, 580, 485

Given numbers are 788, 900, 448, 148
The greatest common divisor of numbers 788, 900, 448, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 900, 448, 148 is 4.

1. What is the GCD of 788, 900, 448, 148?

GCD of given numbers 788, 900, 448, 148 is 4

2. How to calculate the greatest common divisor of 788, 900, 448, 148?

We can find the highest common divisor of 788, 900, 448, 148 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 788, 900, 448, 148 i.e 4.

3. How can I use the GCD of 788, 900, 448, 148Calculator?

Out the numbers 788, 900, 448, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.